83 lines
2.0 KiB
Markdown
83 lines
2.0 KiB
Markdown
# [3227] Vowels Game In A String
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## 題目資訊
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- **難度**: Medium
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- **標籤**: Math, String, Brainteaser, Game Theory
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- **題目連結**: https://leetcode.com/problems/vowels-game-in-a-string/
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- **練習日期**: 2025-09-12
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- **目標複雜度**: 時間 O(n)、空間 O(1)
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## 題目描述
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Alice and Bob are playing a game on a string.
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You are given a string `s`, Alice and Bob will take turns playing the following game where Alice starts **first**:
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On Alice's turn, she has to remove any **non-empty** substring from `s` that contains an odd number of vowels.
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On Bob's turn, he has to remove any non-empty substring from `s` that contains an even number of vowels.
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The first player who cannot make a move on their turn loses the game. We assume that both Alice and Bob play optimally.
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Return `true` if Alice wins the game, and `false` otherwise.
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The English vowels are: `a`, `e`, `i`, `o`, and `u`.
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## 先備條件與限制
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- 輸入限制：n ∈ [?, ?]、值域 ∈ [?, ?]
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- 回傳/輸出格式：...
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- 其他：是否允許排序/就地修改
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## 解題思路
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### 初步分析
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- 類型：雙指針 / 滑動視窗 / 排序 / DP / 貪心 / 圖論 ...
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- 關鍵觀察：
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- 複雜度目標理由：
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### 解法比較
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1. 解法A（基準/暴力）：
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- 思路：
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- 正確性：
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- 複雜度：O(?) / O(?)
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2. 解法B（優化）：
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- 思路：
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- 正確性：
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- 複雜度：O(?) / O(?)
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### 乾跑（Dry Run）
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- 範例：...
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### 常見陷阱
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- 邊界：空/單一/極值/全相等
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- 去重：排序後跳重複、集合
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- 溢位：使用 64-bit
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## 測試案例
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### 範例輸入輸出
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```
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Input: ...
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Output: ...
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Explanation: ...
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```
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### 邊界清單
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- [ ] 空陣列/空字串
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- [ ] 單一元素 / 全相同
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- [ ] 含負數/0/大數
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- [ ] 去重
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- [ ] 大資料壓力
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## 複雜度分析
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- 最壞：時間 O(?)、空間 O(?)
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## 相關題目 / Follow-up
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-
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## 學習筆記
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- 今天學到：
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- 卡住與修正：
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- 待優化：
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---
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**總結**：這題的核心在於 ______，適合練習 ______。
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